The displacement of a simple harmonic oscillator can be represented by the equat

Q: The displacement of a simple harmonic oscillator can be represented by the equat

a) Time periode remains same b) Total mechanical energy becomes 16 times Because, Total mechanical enrgy = 0.5*K*xm^2 c) The magnitude of the maximum velocity of the oscillator becomes 4 times because, Vmax = A*w d) The magnitude of the maximum acceleration of the oscillator becomes 4 times because, a_max = A*w^2

ID: 1380171 • Letter: T

Question

The displacement of a simple harmonic oscillator can be represented by the equation x(t) = xm coswt. The amplitude xm of the oscillator is quadrupled. How do the following change? Do not just state that a quantity increases or decreases. Be specific and determine exactly by how much. [4 points]

(a) The time period.

(b) The total mechanical energy.

(d) The magnitude of the maximum acceleration of the oscillator.

Explanation / Answer

a) Time periode remains same

b) Total mechanical energy becomes 16 times

Because, Total mechanical enrgy = 0.5*K*xm^2

c) The magnitude of the maximum velocity of the oscillator becomes 4 times

because, Vmax = A*w

d) The magnitude of the maximum acceleration of the oscillator becomes 4 times

because, a_max = A*w^2

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The displacement of a simple harmonic oscillator can be represented by the equat

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